find the roots of P(x)=(1+ix +jx^2 )^n −1 with j =e^(i((2π)/3)) then factorize P(x) inside C[x] decompose the fraction F=(1/P)


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Question Number 73485 by abdomathmax last updated on 13/Nov/19
$find the roots of P(x)=(1+ix +jx^2 )^n −1 with j =e^(i((2π)/3)) then factorize P(x) inside C[x] decompose the fraction F=(1/P)$
$f i n d t h e r o o t s o f P (x) = {(1 + i x + {j x}^{2})}^{n} - 1$ $w i t h j = e^{i \frac{2 π}{3}} t h e n f a c t o r i z e P (x) i n s i d e C [x]$ $d e c o m p o s e t h e f r a c t i o n F = \frac{1}{P}$
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